A364481 The number of stones-and-bones tilings of the (3n+1,3n+1)-benzel when one orientation of bone is forbidden.

4, 224, 168960, 1705639936, 229940737867776, 413561647491497066496, 9918120959299139713735065600

Offset

1,1

Comments

See Problem 9 of the Propp article. It is conjectured that a(n) is 2-adically continuous as a function of n.

Links

Table of n, a(n) for n=1..7.

James Propp, Trimer covers in the triangular grid: twenty mostly open problems, arXiv:2206.06472 [math.CO], 2022.

Crossrefs

Cf. A352207, A364482, A364483, A364416, A364417, A364418, A364438.

Sequence in context: A227822 A052209 A211610 * A042539 A182484 A159281

Adjacent sequences: A364478 A364479 A364480 * A364482 A364483 A364484

Keyword

nonn,more

Author

James Propp, Jul 26 2023

Status

approved